Image encoding device, image decoding device, and the programs thereof

ABSTRACT

An image coding device is provided with a determination unit which determines whether to apply an orthogonal transform to a transform block obtained by dividing a prediction difference signal indicating a difference between an input image and a predicted image or perform a transform skip by which the orthogonal transform is not applied, and an orthogonal transform unit which performs processing selected on the basis of the determination, the image coding device comprising a quantization unit which, when the transform skip is selected on the basis of the determination, quantizes the transform block using a first quantization matrix in which the quantization roughnesses of all elements previously shared with a decoding side are equal, and when the orthogonal transform is applied to the transform block on the basis of the determination, quantizes the transform block using the first quantization matrix or a second quantization matrix that is transmitted to the decoding side.

RELATED APPLICATIONS

This application is a Continuation of U.S. patent application Ser. No.17/648,832 filed Jan. 3, 2022, which is a Continuation of U.S. patentapplication Ser. No. 15/084,073 filed Mar. 29, 2016, which is acontinuation of PCT/JP2014/072791 filed on Aug. 29, 2014, which claimspriority to Japanese Application No. 2013-203529 filed on Sep. 30, 2013.The entire contents of these applications are incorporated herein byreference.

TECHNICAL FIELD

This invention relates to an image encoding device, an image decodingdevice and programs thereof.

BACKGROUND ART

With the spread of multimedia technology, even in daily life, movingimages are often handled. The image data generally have lots ofinformation, and, multiple still images from the moving image.Therefore, when transmitting/storing the moving image data, the amountof information is usually compressed using image encoding technology. Anencoding scheme that can compress the amount of information with highefficiency is the predictive encoding scheme. The predictive encodingscheme consists of the process of predicting the predicted image at thecurrent moment from the image encoded in the past, and the process ofencoding the difference image which is the difference between the inputimage that has been input and the predicted image. In encoding ofdifference images, transforming process, or lossless encoding such asthe entropy encoding after quantizing the transformation coefficientrepresented by the transformation domain (for example, spatial frequencydomain) are performed to difference images. The human visualcharacteristic is more sensitive in the frequency band where the spatialfrequency is lower (the lower band) than in the higher band. Therefore,there are cases in which quantization width that is smaller in thequantization as the band becomes lower and larger as the band becomeshigher. Such data formed by the quantization width for each in-blockcoordinate or frequency are called the quantization matrix, in this waythe emphasis is placed on the low-frequency components of the differencesignal, therefore, even if the amount of information is compressed, thedeterioration of subjective quality is controlled.

A typical method of the predictive encoding scheme is HEVC(High-Efficiency Video Coding, high-efficiency image encoding) scheme(also referred to as ISO/IEC 23008-2 HEVC, ITU-T Recommendation H.265)described in Non-Patent Document 1. In HEVC scheme, it is decided as towhether or not orthogonal transformation, a type of transformingprocess, is to be omitted (skipped) for each block, which is a part ofthe difference image, and when decided to be omitted, lossless encodingis performed after quantizing the difference image. Here, for eachdecision as to whether or not to perform an orthogonal transformation,the size of the difference is compared to determine whether or not toskip the orthogonal transformation. The process mode that skips theorthogonal transformation and performs the quantizing and encoding iscalled the TS (TS: Transform Skip) mode. Even if the low-frequencycomponents of difference image are not the main part, the amount ofinformation can be compressed if TS mode is selected.

PRIOR ART DOCUMENTS Non-Patent Documents

-   Non-Patent Document 1: Recommendation ITU-T H.265, (April 2013),    “High-efficiency video coding”, International Telecommunication    Union, April 2013

SUMMARY OF THE INVENTION

However, in the encoding scheme described in Non-Patent Document 1, whenboth blocks are having undergone the orthogonal transformation andblocks not having undergone the orthogonal transformation at the sametime, there is the issue of deterioration of subjective image quality.For example, if the roughness of quantization is set such that theroughness becomes greater as the bandwidth becomes higher in the blockssubjected to the orthogonal transformation, the roughness ofquantization is different between pixels in the blocks subjected to theorthogonal transformation. Thus, there are variations between pixels andthe subjective image quality deteriorates.

This invention is carried out in light of this, providing an imageencoding device, an image decoding device and programs thereof that canreduce the deterioration of subjective image quality resulted fromquantization, even if the blocks having undergone the orthogonaltransformation and blocks without orthogonal transformation coexist.

(1) The present invention is made to solve the above problem and has afeature that an image encoding device includes: a determination unitthat determines either to apply an orthogonal transformation or toperform a transformation skip not to apply the orthogonal transformationto a transformation blocks obtained by dividing a predicted differencesignal, which represents a difference between an input image and apredicted image, an orthogonal transformation unit performing theprocess selected based on the determination, and a quantization unitthat quantizes the transformation blocks using a first quantizationmatrix when the transformation skip is selected based on thedetermination, the first quantization matrix being a matrix thatroughnesses of all elements are equal to roughnesses shared with adecoding side in advance, and the transformation blocks using the firstquantization matrix or a second quantization matrix when the orthogonaltransformation is applied to the transformation blocks based on thedetermination, the second quantization matrix being a matrix transmittedto the decoding side.

(2) Another embodiment of the present invention has a feature that animage encoding device includes: a determination unit that determineseither to apply an orthogonal transformation or to perform atransformation skip not to apply the orthogonal transformation to atransformation blocks obtained by dividing a predicted differencesignal, which represents a difference between an input image and apredicted image, an orthogonal transformation unit performing theprocess selected based on the determination, and a quantization unitthat quantizes the transformation blocks using a first quantizationmatrix or a representative value of a second quantization matrix whenthe transformation skip is selected based on the determination, thefirst quantization matrix being a matrix that roughnesses of allelements are equal to roughnesses shared with a decoding side in advanceand the second quantization matrix being a matrix transmitted to thedecoding side, and the transformation blocks using the firstquantization matrix or the second quantization matrix when theorthogonal transformation is applied to the transformation blocks basedon the determination.

(3) Another embodiment of the present invention has a feature that animage encoding device includes: a determination unit that determineseither to apply an orthogonal transformation or to perform atransformation skip not to apply the orthogonal transformation to atransformation blocks obtained by dividing a predicted differencesignal, which represents a difference between an input image and apredicted image, an orthogonal transformation unit performing theprocess selected based on the determination, and a quantization unitthat quantizes the transformation blocks using a first quantizationmatrix or a third quantization matrix when the transformation skip isselected based on the determination, the first quantization matrix beinga matrix that roughnesses of all elements are equal to roughnessesshared with a decoding side in advance and the third quantization matrixbeing a matrix that roughnesses of all elements are expressed by asingle value transmitted to the decoding side, and the transformationblocks using the first quantization matrix or a second quantizationmatrix when the orthogonal transformation is applied to thetransformation blocks based on the determination, the secondquantization matrix being a matrix transmitted to the decoding side.

(4) Another embodiment of the present invention according to any one ofthe image encoding devices described in (1) to (3) has a feature thatthe quantization unit performs the quantization using the secondtransformation matrix if the orthogonal transformation is applied to thetransformation blocks based on the determination when the secondtransformation matrix is transmitted, and using the first transformationmatrix if the orthogonal transformation is applied to the transformationblocks based on the determination when the second transformation matrixis not transmitted.

(5) Another embodiment of the present invention according to the imageencoding device described in (1) has a feature that the quantizationunit performs the quantization using the first quantization matrix ifthe transformation skip is selected for the transformation blocks basedon the determination when the second transformation matrix istransmitted.

(6) Another embodiment of the present invention has a feature that animage decoding device includes: an inverse quantization unit thatinversely quantizes quantized blocks contained in encoded data using afirst quantization matrix when the quantized blocks are blocks subjectedto a transformation skip not applied an orthogonal transformation, thefirst quantization matrix being a matrix that roughnesses of allelements are equal to roughnesses shared with an encoding side inadvance, and the quantized blocks contained in the encoded data usingthe first quantization matrix or a second quantization matrix when thequantized blocks are blocks subjected to the orthogonal transformation,the second quantization matrix being a matrix transmitted from theencoding side.

(7) Another embodiment of the present invention has a feature that animage decoding device includes: an inverse quantization unit thatinversely quantizes quantized blocks contained in encoded data using afirst quantization matrix or a representative value of a secondquantization matrix when the quantized blocks are blocks subjected to atransformation skip not applied an orthogonal transformation, the firstquantization matrix being a matrix that roughnesses of all elements areequal to roughnesses shared with an encoding side in advance and thesecond quantization matrix being a matrix transmitted from the encodingside, and the quantized blocks contained in the encoded data using thefirst quantization matrix or a second quantization matrix when thequantized blocks are blocks subjected to the orthogonal transformation.

(8) Another embodiment of the present invention has a feature that animage decoding device includes: an inverse quantization unit thatinversely quantizes quantized blocks contained in encoded data using afirst quantization matrix or a third quantization matrix when thequantized blocks are blocks subjected to a transformation skip notapplied a orthogonal transformation, the first quantization matrix beinga matrix that roughnesses of all elements are equal to roughnessesshared with an encoding side in advance and the third quantizationmatrix being a matrix that roughnesses of all elements are expressed bya single value transmitted from the encoding side, and the quantizedblocks contained in the encoded data using the first quantization matrixor a second quantization matrix when the quantized blocks are blockssubjected to the orthogonal transformation, the second quantizationmatrix being a matrix transmitted from the encoding side.

(9) Another embodiment of the present invention according to any one ofthe image decoding devices described in (6) to (8) has a feature thatthe inverse quantization unit performs the inverse quantization usingthe second transformation matrix if the quantized blocks contained inthe encoded data are blocks subjected to the orthogonal transformationwhen the second transformation matrix is transmitted, and using thefirst transformation matrix if the quantized blocks contained in theencoded data are blocks subjected to the orthogonal transformation whenthe second transformation matrix is not transmitted.

(10) Another embodiment of the present invention according to the imagedecoding device described in (6) has a feature that the inversequantization unit performs the inverse quantization using the firstquantization matrix if the quantized blocks contained in the encodeddata are blocks subjected to a transformation skip not applied anorthogonal transformation when the second transformation matrix istransmitted.

(11) Another embodiment of the present invention is a program causing acomputer to function as the image encoding devices described in any of(1) to (5).

(12) Another embodiment of the present invention is a program causing acomputer to function as the image decoding devices described in any of(6) to (10).

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a block diagram to illustrate an example of schematicstructure of an image encoding device 10 in the first embodiment of thisinvention.

FIG. 2 is a pattern diagram to illustrate a encoding block and atransformation block in the same embodiment.

FIG. 3 is a table to illustrate quantization matrix tb11 in the sameembodiment.

FIG. 4 is a table to illustrate quantization matrix tb21 in the sameembodiment.

FIG. 5 is a table to illustrate quantization matrix tb22 in the sameembodiment.

FIG. 6 is a flowchart to illustrate the processes of a quantizationmatrix determination unit 105 and a quantization unit 104 in the sameembodiment.

FIG. 7 is a schematic block diagram to illustrate the structure of animage decoding device 30 in the same embodiment.

FIG. 8 is a flowchart to illustrate a quantization matrix determinationunit 304 and an inverse quantization unit 303 in the same embodiment.

FIG. 9 is a flowchart to illustrate the operation of a quantization unit104 and a quantization matrix determination unit 105 in the secondembodiment of this invention.

FIG. 10 is a flowchart to illustrate the operation of an inversequantization unit 303 and a quantization matrix determination unit 304in the same embodiment.

FIG. 11 is a flowchart to illustrate the operation of a quantizationunit 104 and a quantization matrix determination unit 105 in the thirdembodiment of this invention.

FIG. 12 is a flowchart to illustrate the operation of an inversequantization unit 303 and a quantization matrix determination unit 304in the same embodiment.

FIG. 13 is a schematic block diagram to illustrate the structure of animage encoding device 10 a in the fourth embodiment of this invention.

FIG. 14 is a flowchart to illustrate the operation of a quantizationunit 104 and a quantization matrix determination unit 105 a in the sameembodiment.

FIG. 15 is a schematic block diagram to illustrate the structure of animage decoding device 30 a in the same embodiment.

FIG. 16 is a flowchart to illustrate the operation of an inversequantization unit 303 and a quantization matrix determination unit 304 ain the same embodiment.

FIG. 17 is a flowchart to illustrate the operation of a quantizationunit 104 and a quantization matrix determination unit 105 a in the fifthembodiment of this invention.

FIG. 18 is a flowchart to illustrate the operation of an inversequantization unit 303 and a quantization matrix determination unit 304 ain the same embodiment.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS First Embodiment

In the following, concerning the drawings, we will illustrate the firstembodiment of this invention. FIG. 1 is a block diagram demonstrating anexample of schematic structure of an image encoding device 10 in thisembodiment. The image encoding device 10 encodes input moving image rand generates encoding data. In the example shown in FIG. 1 , the imageencoding device 10 is composed of a preprocessing unit 100, a predicteddifference signal generation unit 101, an orthogonal transformation unit102, a TS determination unit 103, a quantization unit 104, aquantization matrix determination unit 105, an entropy encoding unit106, an inverse quantization unit 107, an inverse orthogonaltransformation unit 108, a decoded image generation unit 109, a loopfilter unit 110, a decoded image storage unit 111, an intra-predictionunit 112, an inter-prediction unit 113, a motion vector calculation unit114, and a predicted image selection unit 115. The outlines of theseunits are each described below.

The preprocessing unit 100 performs the sorting of pictures by picturetype for the input moving images r that have been input, andsequentially outputs the picture types and frame images along with theframes, etc. Moreover, the preprocessing unit 100 performs the blockdivision for each frame image to the encoding block. Further, the sizeof encoding block has three types, 8×8, 16×16, and 32×32. Fordetermining which of these shall be the size of encoding block, anymethod may be used, for example, concerning the spatial frequencydistribution in that domain, the smaller the high-frequency component,the larger the size of encoding block, etc.

The predicted difference signal generation unit 101 retrieves theencoding blocks divided by the preprocessing unit 100. The predicteddifference signal generation unit 101 generates predicted differencesignal with those encoding blocks and the block data of the predictedimages input from the predicted image selection unit 115. Morespecifically, the predicted difference signal is generated bysubtracting the corresponding pixel value of block data input from thepredicted image selection unit 115 from each pixel value of encodingblocks of the predicted image selection unit 115. The predicteddifference signal generation unit 101 inputs the generated predicteddifference signal to the orthogonal transformation unit 102 and the TSdetermination unit 103.

The orthogonal transformation unit 102 divides the input predicteddifference signal into transformation blocks. Further, the size oftransformation block has four types, 4×4, 8×8, 16×16, and 32×32. Fordetermining which of these shall be the size of each transformationblock, any method may be used. For example, the orthogonaltransformation unit 102 calculates the value representing the magnitudeof the difference between the decoding result after decoding suchencoding data and the input moving image, and the evaluation value basedon the number of bits of encoding data in the case of each size, and thesize when such evaluation value is the largest is used. Further,evaluation value increases as the number of bits of encoding data becomeless, and also increases as the magnitude of the difference between thedecoding result and the input moving image becomes smaller.

The orthogonal transformation unit 102 performs orthogonaltransformation process such as discrete cosine transformation to thedivided transformation blocks and generates quantization blocks.However, for transformation blocks judged as unqualified for orthogonaltransformation by the TS determination unit 103, the transformationblocks becomes quantization blocks without any change. Further, as theblock size doesn't change in orthogonal transformation, the size oftransformation block and the size of quantization block after itsorthogonal transformation are the same.

The TS determination unit 103 determines whether orthogonaltransformation shall be performed to each transformation block. The TSdetermination unit 103, for example, calculates the spatial frequencydistribution of transformation blocks and perform TS when the differencebetween the maximum and minimum values of frequency components is belowa predefined threshold. Further, other methods may also be used todetermine whether or not to perform an orthogonal transformation.Moreover, in this embodiment, as with HEVC, the orthogonaltransformation may be disabled (TS) except when the size oftransformation block is 4×4.

The TS determination unit 103 inputs the TS flag (transform_skip_flag)indicating whether or not the transformation block is enabled for thatorthogonal transformation to entropy encoding unit 106 and quantizationmatrix determination unit 105 when orthogonal transformation can bedisabled for such transformation block. Further, when orthogonaltransformation can be disabled for the transformation block, in the caseof this embodiment, it is when the size of transformation block is 4×4.Moreover, when TS flag is “1”, it means the orthogonal transformationshall be disabled, and when “0,” the orthogonal transformation shall beenabled.

The quantization unit 104 quantizes the quantization blocks that are theoutput signal from the orthogonal transformation unit 102. Thequantization unit 104 reduces the code amount of the output signal byquantizing and inputs this output signal (quantized blocks) into theentropy encoding unit 106 and the inverse quantization unit 107. Thequantization unit 104, when quantizing the quantization blocks, uses thequantization matrix determined by the quantization matrix determinationunit 105 for each quantization block. This quantization matrix is onerepresenting the roughness of quantization when each of its factorsfactor (hereinafter, quantization value) quantizes the factorscorresponding to the quantization blocks. The larger the quantizationvalue, the larger the quantization step.

The quantization matrix determination unit 105 determines thequantization matrix for each quantization block. The quantization matrixdetermination unit 105 determines the quantization matrix of those ofall quantization blocks that are obtained by TS in such a way that, inthe quantization matrix, the roughness of quantization of all factors isequal, that is, all quantization values are of the same value. Themethod to determine the quantization matrix will be described later.

The quantization matrix determination unit 105 inputs the transmissionquantization matrix enabling flag (scaling_list_enable_flag) thatindicates whether or not to use the transmission quantization matrix totransmit to the decoding side in the form of quantization matrix intothe entropy encoding unit 106. Furthermore, when transmissionquantization matrix enabling flag is “1”, which indicates thattransmission quantization matrix is used, the quantization matrixdetermination unit 105 inputs the scaling list (ScalingList) sortingeach factor of such transmission quantization matrix (ScalingFactor) bya predefined order into the entropy encoding unit 106.

The entropy encoding unit 106 performs the entropy encoding andoutputting of, as encoding data e, information input from each unit,such as the output signal from the quantization unit 104, a motionvector information output from the motion vector calculation unit 114,or filter coefficient from the loop filter unit 110. Further,information input from each unit contains the TS flag input from the TSdetermination unit 103, scaling list and transmission quantizationmatrix enabling flag input from the quantization matrix determinationunit 105. Moreover, the entropy encoding means a scheme to assignvariable-length code depending on the frequency of appearance of thesymbol.

The inverse quantization unit 107 performs the inverse quantization ofquantized blocks input from the quantization unit 104 and generates thetransformed blocks. The inverse quantization unit 107 inputs thetransformed blocks it has generated into the inverse orthogonaltransformation unit 108. The inverse quantization unit 107 usesquantization matrix determined by the quantization matrix determinationunit 105 during the inverse quantization. In this way, the inversequantization by the roughness of quantization during quantization isperformed.

The inverse orthogonal transformation unit 108 performs the inverseorthogonal transformation process of the transformed blocks input fromthe inverse quantization unit 107 and then output them to the decodedimage generation unit 109. The signal that is equivalent to thepredicted difference signal before encoding can be obtained through thedecoding process by these inverse quantization unit 107 and inverseorthogonal transformation unit 108.

The decoded image generation unit 109 adds the block data of predictedimages selected by the predicted image selection unit 115 to thepredicted difference signal that has undergone the decoding process bythe inverse quantization unit 107 and the inverse orthogonaltransformation unit 108. The decoded image generation unit 109 outputsthe block data of decoded image generated after the addition of the loopfilter unit 110.

The loop filter unit 110 may be, for example, any one SAO (SampleAdaptive filter), ALF (Adaptive Loop Filter) or blocking filter, or haveseveral of them.

For example, the loop filter unit 110 divides the input images intogroups for each predefined size and generates an appropriate filtercoefficient for each group. The loop filter unit 110 divides the decodedimages having undergone the filter process into groups for eachpredefined size, and, using the generated filter coefficient, performsthe filter process for each group. The loop filter unit 110 outputs thefilter process results to the decoded image storage unit 111, and storesit as reference images. The predefined size is, for example, theorthogonal transformation size.

The decoded image storage unit 111 stores the block data of the inputdecoded image as data of new reference images and outputs them to theintra-prediction unit 112, the inter-prediction unit 113 and the motionvector calculation unit 114.

The intra-prediction unit 112 generates the block data of predictedimages from the reference pixels already encoded blocks in that images.The intra-prediction unit 112 performs the prediction using multipleprediction directions and determines the optimal prediction direction.

The inter-prediction unit 113 performs the motion compensation for thedata of reference images retrieved from the decoded image storage unit111 with the motion vectors provided by the motion vector calculationunit 114. In this way, the block data as the reference images that haveundergone the motion compensation are generated.

The motion vector calculation unit 114 finds the motion vector with theblock data in images to be encoded and reference images retrieved fromthe decoded image storage unit 111. The motion vector is a valueindicating the spatial displacement by the block, which is found usingtechnologies such as the block matching technology that searches thepositions most similar to the blocks to be processed in the referenceimages block by block.

The motion vector calculation unit 114 outputs the found motion vectorto the inter-prediction unit 113 and outputs the motion vectorinformation that contains the information indicating the motion vectoror reference images to the entropy encoding unit 106.

The block data output from the intra-prediction unit 112 and theinter-prediction unit 113 are input to the predicted image selectionunit 115.

The predicted image selection unit 115 selects as the predicted imagesthe block data of either those retrieved from the intra-prediction unit112 or those from the inter-prediction unit 113. The selected predictedimages are output to the predicted difference signal generation unit 101and the decoded image generation unit 109.

FIG. 2 is a pattern diagram to illustrate the encoding block andtransformation block in this embodiment. By the preprocessing unit 100,each frame is divided into encoding blocks. The size of encoding blockis any of 8×8, 16×16, or 32×32. In FIG. 2 , the 64×64 block in the framehas been divided into 32×32 encoding blocks CB1, CB2, CB3 and 16×16encoding blocks CB4, CB5, CB6, CB7.

Furthermore, the predicted difference signal corresponding to eachencoding block is divided into transformation blocks by the orthogonaltransformation unit 102. In FIG. 2 , the 32×32 encoding block CB2 hasbeen divided into 16×16 transformation blocks TB1, TB2, TB3, and 8×8transformation blocks TB4, TB5, TB6, and 4×4 transformation blocks TB7,TB8, TB9, TB10.

FIG. 3 , FIG. 4 , FIG. 5 are tables to illustrate Quantization Matricestb11, tb21, tb22 which have 16 quantization values in total, with 4 inthe horizontal direction (4 columns), and 4 in the vertical direction (4rows), respectively. The number of factors in Quantization Matricestb11, tb21, tb22 is 4×4. Hence, they are used to quantize the 4×4quantization blocks. The squares contained in each of QuantizationMatrices tb11, tb21, tb22 indicate the factors. The numbers in eachsquare indicate the quantization value.

The quantization matrix tb11 is one example of default quantizationmatrix based on the flat initial value, in which the quantization valuesof the factors are all 16. Here, flat means that all factors of thequantization matrix are of the same value. If such flat quantizationmatrix is used, quantization is performed with the same accuracyregardless of the factors of the quantization blocks. For this reason,when the orthogonal transformation is not performed, the deteriorationof image quality due to the use of quantization matrix with a bias inthe quantization value, such as quantization matrix tb21, can beavoided.

The quantization matrix tb21 is one example of transmission quantizationmatrix with inclination. Quantization matrix tb21 has largerquantization value as each of the degrees of the horizontal directionand vertical direction increases. The quantization values in the upperleft corner (Row 1 Column 1), middle (Row 3 Column 2), and lower rightcorner (Row 4 Column 4) of quantization matrix tb21 are 6, 28, and 42respectively. In such quantization matrix, the transformationcoefficient of the factors arranged closer to the lower right, i.e., thetransformation coefficient of higher band, is quantized with loweraccuracy. For this reason, when orthogonal transformation is performed,it is allowed to reduce the amount of information in higher band throughquantization without the deterioration of subjective image quality,utilizing the human visual characteristic that the lower the band, themore sensitive the vision is to the spatial variation of shade and hue.

The quantization matrix tb22 is another example of transmissionquantization matrix with inclination. Quantization matrix tb22 also haslarger quantization value as the degrees of horizontal direction andvertical direction each increase. For this reason, when the orthogonaltransformation is performed, it is allowed to reduce the amount ofinformation in the higher band through quantization without thedeterioration of subjective image quality. However, the inclination ofquantization values in quantization matrix tb22 is gentler than that ofthe quantization values in quantization matrix tb21.

Further, although in FIG. 3 , FIG. 4 , and FIG. 5 , examples of 4×4quantization matrix have been shown, the size of quantization block hasfour types: 4×4, 8×8, 16×16, and 32×32. Therefore, the size ofquantization matrix also has four types: 4×4, 8×8, 16×16, and 32×32.

FIG. 6 is a flowchart to illustrate the processing of the quantizationmatrix determination unit 105 and the quantization unit 104. Thequantization matrix determination unit 105 and the quantization unit 104select all encoding blocks one by one in order and perform the followingprocesses of Step Sa2-Step Sa17 (Sa1). In Step Sa2, quantization matrixdetermination unit 105 determines whether or not to use the transmissionquantization matrix to quantize the transformation blocks that belong tosuch encoding blocks (the selected encoding blocks). Any method may beused to determine whether or not to use the transmission quantizationmatrix. For example, one may judge, for the quantization blocks withinthat encoding block, whether or not the difference between the maximumand the minimum values of the factor exceeds a predefined range, and, ifso, may decide to use the transmission quantization matrix.

When, in Step Sa2, it has been determined not to use transmissionquantization matrix (Sa2—No), the quantization matrix determination unit105 sets the transmission quantization matrix enabling flag relating tothat encoding block to “0”, and input it to the entropy encoding unit106 (Sa13). If the value of transmission quantization matrix enablingflag is “0”, it indicates that, when quantizing the quantization blocksin that encoding block, the transmission quantization matrix is notused, while the default quantization matrix is used.

Then, all quantization blocks in that encoding block are selected one byone in order, and the processes of Step Sa15, Sa16 are performed (Sa14).In Step Sa15, the quantization matrix determination unit 105 sets thedefault quantization matrix, which is by the size of quantization block,to the quantization unit 104 and inverse quantization unit 107. Thedefault quantization matrix is a quantization matrix that uses theinitial values stored and shared in advance with the decoding side asits factors. Further, in this embodiment, as with HEVC, the 4×4 defaultquantization matrix is flat, as quantization matrix tb11 in FIG. 3 andthe default quantization matrices of the other sizes have theinclination.

That is to say, for the encoding blocks not using the transmissionquantization matrix, when quantizing the 4×4 quantization block, flatdefault quantization matrix is always used regardless of whether TS hasbeen performed.

Then, the quantization unit 104 quantizes each factor of suchquantization block using the default quantization matrix set in StepSa15 and generates the quantized blocks. The quantization unit 104inputs the generated quantized blocks to the entropy encoding unit 106and inverse quantization unit 107 (Sa16). For example, the quantizationunit 104 selects, the transformation coefficient level valueTransCoeffLevel[xTbY][yTbY][cIdx][x][y] during the quantization, wherethe inverse-quantized transformed blocks d[x][y] calculated by theinverse quantization unit 107 in Equation (1) is the most approximate tothe quantization block input from the orthogonal transformation unit102, and use it as the quantized block. Further, in Equation (1),m[x][y] is quantization matrix.

d[x][y]=Clip3(−32768,32767,((TransCoeffLevel[xTbY][yTbY][cIdx][x][y]*m[x][y]*levelScale[qP%6]<<(qP/6))+(1<<(bdShift−1)))>>bdShift)  (1)

Here, Clip3 (a,b,xx) is a function that is set to a when real number xxis smaller than real number a, or b when real number xx is larger thanreal number b, or directly xx when real number xx is a or greater than aand is b or smaller than b. xTbY, yTbY indicates the coordinate valuesin the horizontal direction and the vertical direction in the upper leftcorner of the quantization block (object block) to be processed,respectively. “−32768” and “32767” indicates the minimum and maximumvalues of each factor shown in 16 bits, respectively. cIdx is an indexshowing the types of signal values. cIdx=0, 1, 2 indicate luminancesignal, color difference signal Cb, and color difference signal Cr,respectively.

LevelScale[0] through levelScale[5] are 40, 45, 51, 57, 64, 72,respectively. qP is the quantization parameter, that is, an integralshowing the quantization accuracy, which is a parameter to prompt toreduce the quantization value by half each time it increases by 6. qP%6indicates the remainder obtained by dividing qP by 6. a<<b is a bitshift operator indicating that only the b digit of the value of a inbinary representation is shifted to the left side, that is, multipliedby the b-th power of 2. a>>b is a bit shift operator indicating thatonly the b digit of the value of a in binary representation is shiftedto the right side, that is, divided by the b-th power of 2.

BdShift is a bit shift value defined in advance according to the type ofsignal value. For example, if signal value is luminance signal Y,bdShift is BitDepthy+Log 2(nTbS)−5. BitDepthy indicates the bit depth ofluminance signal Y, i.e., number of quantization bits (for example, 16bits). NTbS indicates the block size of the object block. If the signalvalue is color difference signal Cb or Cr, for bd, the quantizationmatrix determination unit 105 determines the Shift as BitDepthc+Log2(nTbS)−5. BitDepthc indicates the bit depth of luminance signals Cb,Cr, i.e., number of quantization bits (for example, 16 bits). Here, qPmay be different values depending on the type of frame.

Then, the quantization matrix determination unit 105 judges whether ornot the processes of Step Sa15, Sa16 have been performed to allquantization blocks belonging to that encoding block (Sa17), and, whensuch processes have been performed on all quantization blocks, proceedsto Step Sa12. When there exist any quantization blocks that have notundergone the processes of Step Sa15, Sa16, the quantization matrixdetermination unit 105 selects one quantization block not havingundergone the process and return to Step Sa15.

On the other hand, in Step Sa2, when it has been judged thattransmission quantization matrix shall be used in that encoding block(Sa2—Yes), the quantization matrix determination unit 105 determines thetransmission quantization matrix (ScalingFactor) for each size (Sa3).For example, the quantization matrix determination unit 105 stores inadvance multiple quantization matrices of all sizes, and select fromthem the one that can minimize the quantization error. Or, it may alsocalculate the quantization error and the evaluation value based on thequantized number of bits, and perform the selection according to thisevaluation value.

Then, the quantization matrix determination unit 105 inputs the scalinglist that aligns each factor of the determined transmission quantizationmatrix by a predefined order, and the transmission quantization matrixenabling flag (scaling_list_enable_flag) that has been set to “1” to theentropy encoding unit 106 (Sa4). Next, all quantization blocks in thatencoding block are selected one by one in order, and processes from StepSa6 through Sa10 are performed (Sa5).

In Step Sa6, the quantization matrix determination unit 105 judgeswhether the size of such quantization block is 4×4, that is, whether ornot it is a quantization block to which TS can be performed. In StepSa6, when the judgment is 4×4 (Sa6—Yes), the quantization matrixdetermination unit 105 judges whether or not such quantization block hasundergone TS (Sa7). Further, in such judgment, TS flag input from the TSdetermination unit 103 is referred to.

When the judgment is TS in Step Sa7 (Sa7—Yes), the quantization matrixdetermination unit 105 sets 4×4 default quantization matrix to thequantization unit 104 and inverse quantization unit 107 (Sa8), andproceeds to Step Sa10. This 4×4 default quantization matrix is identicalto that set in Step Sa15, which is a flat quantization matrix. On theother hand, when, in Step Sa6, the judgment is not 4×4 (Sa6—No), and, inStep Sa7, the judgment is not TS (Sa7—No), the quantization matrixdetermination unit 105 picks transmission quantization matrix the sizeof such quantization block from transmission quantization matricesdetermined in Step Sa3, and set it to the quantization unit 104 and theinverse quantization unit 107 (Sa9), and proceeds to Step Sa10.

That is, for encoding block using transmission quantization matrix, whenquantizing a 4×4 quantization block, if it has already undergone TS,then the default quantization matrix is used, if not, then transmissionquantization matrix is used. Accordingly, the flat quantization matrixmay be used to those are already subjected to TS, and the quantizationmatrix with inclination may be used to those are not subjected to TS.

In Step Sa10, as with Step Sa16, the quantization unit 104 quantizessuch quantization block using the quantization matrix set in Step Sa8 orSa9, and generates quantized blocks. The quantization unit 104 inputsthe generated quantized blocks to the entropy encoding unit 106 and theinverse quantization unit 107. Then, the quantization matrixdetermination unit 105 judges whether or not the processes from StepSa6-Sa10 have been performed to all quantization blocks belonging tothat encoding block (Sa11), and, when they have been performed on allquantization blocks, proceeds to Step Sa12. When there existquantization blocks to which the processes of Step Sa6-Sa10 have notbeen performed, the quantization matrix determination unit 105 selectsone of the quantization blocks not having undergone the processes, andreturn to Step Sa6.

In Step Sa12, the quantization matrix determination unit 105 judgeswhether or not the processes of Step Sa2-Sa17 have been performed forall encoding blocks. When there exist encoding blocks to which theprocesses of Step Sa2-Sa17 have not been performed, the quantizationmatrix determination unit 105 selects one of the encoding blocks nothaving undergone the processes and return to Step Sa2. The process isended if all encoding blocks have undergone such processes.

Next, we will explain by an image decoding device 30, which generatesthe decoded images by decoding encoding data e generated by the imageencoding device 10. FIG. 7 is a schematic block diagram to illustratethe structure of the image decoding device 30 in this embodiment. Asshown in FIG. 7 , the image decoding device 30 includes an the entropydecoding unit 301, a decoding information storage unit 302, an inversequantization unit 303, a quantization matrix determination unit 304, aninverse orthogonal transformation unit 305, a TS determination unit 306,a decoded image generation unit 307, a loop filter unit 308, a framememory 309, an inter-prediction unit 310, an intra-prediction unit 311,and a predicted image selection unit 312. The outlines of these unitsare each described below.

The entropy decoding unit 301 performs the entropy decodingcorresponding to the entropy encoding by the entropy encoding unit 106of the image encoding device 10, when encoding data e generated by imageencoding device 10 is input. The prediction error signal decoded by theentropy decoding unit 301 (quantized blocks) is output to the inversequantization unit 303. Moreover, the decoded TS flag, transmissionquantization matrix enabling flag, scaling list, filter coefficient,and, in the case of inter-prediction, the decoded motion vector, etc.,are input to the decoding information storage unit 302.

Moreover, the entropy decoding unit 301, in the case ofintra-prediction, informs the intra-prediction unit 311 of that matter.Moreover, the entropy decoding unit 301 reports the predicted imageselection unit 312 of information that the images to be decoded havebeen inter-predicted or intra-predicted.

The decoding information storage unit 302 stores decoding informationsuch as the decoded TS flag, transmission quantization matrix enablingflag, scaling list, filter coefficient of the loop filter, the motionvector or the division mode.

The inverse quantization unit 303 performs the inverse quantizationprocess represented by Equation (1) to the quantized blocks input fromthe entropy decoding unit 301, and generates the transformed blocks.These transformed blocks are the restored form of the quantizationblocks generated by orthogonal transformation unit 102 in FIG. 1 . Theinverse quantization unit 303 inputs the transformed blocks to theinverse orthogonal transformation unit 305. Further, the inversequantization unit 303 uses the quantization matrix set from thequantization matrix determination unit 304 when performing the inversequantization process.

The quantization matrix determination unit 304 reads the TS flag,transmission quantization matrix enabling flag, and scaling list fromthe decoding information storage unit 302, generates the quantizationmatrix used in the inverse quantization of each quantized blocks andsets it to the inverse quantization unit 303.

The inverse orthogonal transformation unit 305 performs the inverseorthogonal transformation process to the transformed blocks input fromthe inverse quantization unit 303 and generates predicted differencerestoration signal which has restored the predicted difference signalgenerated by the predicted difference signal generation unit 101 of theimage encoding device 10. Further, for those transformed blocks forwhich it has been specified that inverse orthogonal transformation isdisabled from the TS determination unit 306, the inverse orthogonaltransformation unit 305 does not perform the inverse orthogonaltransformation process, and directly uses them as predicted differencerestoration signal. The inverse orthogonal transformation unit 305inputs the predicted difference restoration signal to the decoded imagegeneration unit 307.

The intra-prediction unit 311 generates the predicted image, usingmultiple prediction directions, from the already decoded surroundingpixels of the object image retrieved from the frame memory 309.

The inter-prediction unit 310 performs the motion compensation for thedata of reference images retrieved from the frame memory 309 using themotion vector or division mode retrieved from decoding informationstorage unit 302. In this way, the block data of predicted images, whichare composed of the reference images having undergone the motioncompensation, are generated.

The predicted image selection unit 312 selects the predicted image fromeither the intra-predicted images or inter-predicted images followingthe notification from the entropy decoding unit 301. The block data ofthe selected predicted images are input to the decoded image generationunit 307.

The decoded image generation unit 307 adds the block data of predictedimages input from the predicted image selection unit 312 to thepredicted difference restoration signal input from the inverseorthogonal transformation unit 305 and generates the decoded images. Thedecoded images are input to the loop filter unit 308.

The loop filter unit 308 applies the filter for reducing blockdistortion to the decoded images output from the decoded imagegeneration unit 307 and outputs the decoded images after the loop filterprocess to the frame memory 309. Further, the decoded images after theloop filter may also be output to display device, etc.

The frame memory 309 stores the decoded images, etc., that are thereference images. Further, although the decoding information storageunit 302 and the frame memory 309 are separate parts, they may also bethe same storage unit.

FIG. 8 is a flowchart to illustrate the operation of the quantizationmatrix determination unit 304 and the inverse quantization unit 303. Thequantization matrix determination unit 304 and the inverse quantizationunit 303 selects all encoding blocks one by one in order and performsthe processes of the following Step Sb2 through Step Sb14 (Sb1). In StepSb2, the quantization matrix determination unit 304 judges whether ornot the transmission quantization matrix enabling flag of that encodingblock is “1” concerning the decoding information storage unit 302.

When the judgment is that is not “1” (Sb2—No), the quantization matrixdetermination unit 304 and the inverse quantization unit 303 selects allquantized blocks in that encoding block one by one in order and performthe following processes of Step Sb12 through Step Sb13. In Step Sb12,the quantization matrix determination unit 304 judges whether or not theprocesses of Step Sb12-Sb13 have been performed to quantization blocksbelonging to that encoding block (Sb14), and, when they have beenperformed on all quantization blocks, proceeds to Step Sb15. When thereexist quantization blocks that is not subjected to the processes of StepSb12-Sb13, quantization matrix determination unit 304 selects one of thequantization blocks not having undergone the processes and return toStep Sb12.

On the other hand, in Step Sb2, when it is judged that transmissionquantization matrix enabling flag is “1” (Sb2—Yes), the quantizationmatrix determination unit 304 retrieves the scaling list of each size ofthat encoding block from decoding information storage unit 302 (Sb3).Next, the quantization matrix determination unit 304 and the inversequantization unit 303 selects all quantized blocks one by one in orderand perform the following processes of Step Sb5 through Step Sb10 (Sb4).First, quantization matrix determination unit 304 determines whether ornot the size of such selected quantized block is 4×4 (Sb5). If it isjudged to be 4×4 (Sb45—Yes), it further retrieves the TS flag of thatquantized block from the decoding information storage unit 302, anddetermine whether or not the TS flag is “1” (Sb6).

When it is judged that TS flag is “1” (Sb6—Yes), the quantization matrixdetermination unit 304 sets the 4×4 default quantization matrix to theinverse quantization unit 303 (Sb7) and proceeds to Step Sb9. On theother hand, if it is judged to be not 4×4 in Step Sb5 (Sb5—No), and, theTS flag Step is judged to be not “1” in Sb6 (Sb6—No), the quantizationmatrix determination unit 304 picks the transmission quantization matrixgenerated from the scaling list of the size of that quantized block fromthe scaling lists retrieved from Step Sb3, and set it to the inversequantization unit 303 (Sb8), and then proceeds to Step Sb9. Further, thequantization matrix determination unit 304 generates the transmissionquantization matrix by using each value obtained by dividing the scalinglist, as the factor of each predefined position.

In Step Sb9, as with Step Sb13, the inverse quantization unit 303performs the inverse quantization on that quantized block with thequantization matrix set in Step Sb7 or Sb8 and generates transformedblocks. The inverse quantization unit 303 inputs the generatedtransformed blocks to the inverse orthogonal transformation unit 305.Then, the quantization matrix determination unit 304 determines whetheror not the processes of Step Sb5-Sb9 have been performed to allquantized blocks belonging to that encoding block (Sb10), and, when theyhave been performed on all quantized blocks, proceeds to Step Sb15. Whenthere exist any quantized blocks to which the processes of Step Sb5-Sb9have not been performed, quantization matrix determination unit 304selects one of the quantized blocks not having undergone the processesand return to Step Sb5.

In Step Sb15, the quantization matrix determination unit 304 determineswhether the processes of Step Sb2-Sb14 have been performed to allencoding blocks (Sb15). When there exist any encoding blocks to whichthe processes of Step Sb2-Sb14 have not been performed, the quantizationmatrix determination unit 304 selects one of the encoding blocks nothaving undergone the processes and return to Step Sb2. When theprocesses have been performed for all encoding blocks, the process isended.

In this way, the image encoding device 10 in this embodiment includesthe TS determination unit 103, the orthogonal transformation unit 102,quantization matrix determination unit 105, and quantization unit 104.The TS determination unit 103 determines whether or not orthogonaltransformation shall be enabled for each transformation block obtainedby dividing the predicted difference signal that represents thedifference between the input image and the predicted image. Theorthogonal transformation unit 102 picks the transformation blocks thatare judged to be applicable for orthogonal transformation from thetransformation blocks and performs the orthogonal transformation tothem, and generates the quantization blocks; it also picks thetransformation blocks that are judged to be not applicable fororthogonal transformation from the transformation blocks, and directlyuse them as quantization blocks.

Moreover, the quantization matrix determination unit 105 determines foreach quantization block the quantization matrix representing theroughness of quantization of each factor in quantizing each factor ofthe quantization block. The quantization unit 104 quantizes each factorof the quantization block with the quantization matrix determined by thequantization matrix determination unit 105. Then, the quantizationmatrix determination unit 105 makes the quantization matrix for thequantization block left as the original transformation block is by theorthogonal transformation unit 102 a quantization matrix with all of itsfactors' roughness of quantization being equal.

Thus, even if blocks having undergone the orthogonal transformation andblocks without orthogonal transformation coexist, because for thequantization blocks left as the original transformation blocks are,i.e., the quantization blocks to which orthogonal transformation havenot been performed, all factors' roughness of quantization is equal, thevariation between pixels resulting from quantization can be reduced, andthe deterioration of subjective image quality can also be controlled.

Furthermore, the quantization matrix determination unit 105 uses thedefault quantization matrix to be shared in advance with the decodingside as the quantization matrix for the quantization block left as theoriginal transformation block is by the orthogonal transformation unit102.

Thus, used is the default quantization matrix with all factors'roughness of quantization being equal for the quantization of thequantization blocks left as the original transformation blocks are,i.e., the quantization blocks not subjected to the orthogonaltransformation. Therefore, therefore, the variation between pixelsresulting from quantization can be reduced, and the deterioration ofsubjective image quality can also be controlled.

Furthermore, the quantization matrix determination unit 105 determineseither the default quantization matrix or the transmission quantizationmatrix to be transmitted to the decoding side shall be used as thequantization matrix, for each predefined unit (encoding block) composedof one or more said quantization blocks. Moreover, the quantizationmatrix determination unit 105 uses as the default quantization matrixthe quantization matrix that is contained in the predefined unitdetermined to use the transmission quantization matrix and thequantization blocks left as the original transformation blocks by theorthogonal transformation unit 102.

Thus, used is the default quantization matrix with all factors'roughness of quantization being equal for the quantization of thequantization blocks not subjected to the orthogonal transformation, evenif they are quantization blocks contained in the predefined unit(encoding block) for which the use of transmission quantization matrixis determined. Therefore, the variation between pixels resulting fromquantization can be reduced, and the deterioration of subjective imagequality can also be controlled.

In this way, the image decoding device 30 includes the quantizationmatrix determination unit 304, the inverse quantization unit 303, the TSdetermination unit 306, the inverse orthogonal transformation unit 305,and the decoded image generation unit 307. The quantization matrixdetermination unit 304 determines for each quantized block thequantization matrix representing the roughness of quantization of eachfactor in the inverse quantization of each factor of the quantizedblocks contained in encoding data e. The inverse quantization unit 303performs the inverse quantization to each factor of the quantized blockwith the quantization matrix determined by the quantization matrixdetermination unit 304, and generates the transformed blocks. The TSdetermination unit 306 determines whether or not the inverse orthogonaltransformation shall be enabled for each transformed block.

Moreover, the inverse orthogonal transformation unit 305 picks thosetransformed blocks judged to be applied to the inverse orthogonaltransformation from all transformed blocks and performs the inverseorthogonal transformation on them. The inverse orthogonal transformationunit 305 generates the predicted difference restoration signal; it alsopicks those transformed blocks judged to be not applicable for inverseorthogonal transformation from all transformed blocks and use themdirectly as the predicted difference restoration signal. The decodedimage generation unit 307 (synthesizing unit) generates the decodedimage from the predicted difference restoration signal and predictedimage. The quantization matrix determination unit 304 uses aquantization matrix with all factors' roughness of quantization beingequal as the quantization matrix used in generating the transformedblocks used directly as the predicted difference restoration signal bythe inverse orthogonal transformation unit 305.

Thus, used is the quantization matrix with all factors' roughness ofquantization being equal for the inverse quantization of quantizedblocks corresponding to the transformed blocks directly used aspredicted difference restoration signal without undergoing the inverseorthogonal transformation, even if the blocks subjected to theorthogonal transformation and blocks without orthogonal transformationcoexist. Therefore, the variation between pixels resulting fromquantization can be reduced, and the deterioration of subjective imagequality can also be controlled.

Moreover, the quantization matrix determination unit 304 uses thedefault quantization matrix to be shared with the encoding side inadvance as the quantization matrix used in generating the transformedblocks used directly as the predicted difference restoration signal bythe inverse orthogonal transformation unit 305.

Thus, used is the default quantization matrix with all factors'roughness of quantization being equal for the inverse quantization ofquantized blocks corresponding to the transformed blocks directly usedas the predicted difference restoration signal without subjected to theinverse orthogonal transformation. Therefore, the variation betweenpixels resulting from quantization can be reduced, and the deteriorationof subjective image quality can also be controlled.

Moreover, the quantization matrix determination unit 304 determineseither the default quantization matrix or the transmission quantizationmatrix to be transmitted from the encoding side shall be used as thequantization matrix for each predefined unit (encoding block) composedof one or more quantized blocks. Moreover, the quantization matrixdetermination unit 304 uses, as the default quantization matrix, thequantization matrix used for generating the transformed blocks that iscontained in the encoding block determined to use the transmissionquantization matrix and that the inverse orthogonal transformation unit305 directly uses the predicted difference block 305.

Thus, the default quantization matrix with all factors' roughness ofquantization being equal is used for the inverse quantization ofquantized blocks not subjected to the inverse orthogonal transformationafter the inverse quantization, even if the quantized blocks iscontained in the predefined unit (the encoding block) determined to usethe transmission quantization matrix. Therefore, the variation betweenpixels resulting from quantization can be reduced, and the deteriorationof subjective image quality can also be controlled.

Second Embodiment

In the following, with reference to the drawings, we will illustrate thesecond embodiment of this invention. In the first embodiment, an exampleof the use of default quantization matrix on those quantization blocksthat undergo TS even if they belong to the encoding block usingtransmission quantization matrix. In the second embodiment, we willillustrate an example of the use of representative value quantizationmatrix, which is a flat quantization matrix generated from thetransmission quantization matrix, on the quantization blocks that haveundergone TS and belong to the encoding block using transmissionquantization matrix.

The image encoding device 10 and the image decoding device 30 in thisembodiment have the same structure as the image encoding device 10 inFIG. 1 and the image decoding device 30 in FIG. 7 . However, theoperation of the quantization matrix determination unit 105 in the imageencoding device 10 and operation of the quantization matrixdetermination unit 304 in the image decoding device 30 are different.Therefore, we will explain on these operations.

FIG. 9 is a flowchart to illustrate the operation of the quantizationunit 104, quantization matrix determination unit 105 in this embodiment.In FIG. 9 , the same symbols (Sa1-Sa7, Sa9-Sa17) are added to the partscorresponding to those in FIG. 6 , and the description is omitted. Theflowchart of FIG. 9 is only different from the flowchart in FIG. 6 inthat Step Sa8 is changed to Step Sc8. In Step Sc8, the quantizationmatrix determination unit 105 retrieves the representative value of oneof the transmission quantization matrices determined in Step Sa3, ofwhich the size is equal to that quantization block. The quantizationmatrix determination unit 105 sets the representative value quantizationmatrix of which all factors are of the same value as the representativevalue for the quantization unit 104 and inverse quantization unit 107.

For example, using the factor in the predefined position of thetransmission quantization matrix as the representative value, aquantization matrix with all factors equal to this representative valueis used as the representative value quantization matrix. Thisrepresentative value quantization matrix m[x][y] can, when thetransmission quantization matrix is represented asScalingFactor[sizeId][x][y], be expressed in the form of Equation (2):m[x][y]=ScalingFactor[sizeId][α][β] . . . (2) Here, α, β are integralsindicating the predefined positions in the horizontal direction andvertical direction, respectively, and their values range from either 0through xTbS−1, or 0 through yTbS−1 (for example, 2). xTbS is the blocksize in the x direction; yTbs is the block size in the y direction. Bothof them are “4”. SizeId is an index indicating the size of quantizationblock. Here is has a value representing 4×4.

Further, as the representative value, instead of using specific factor,the average value, intermediate value, minimum value, maximum value ormode value of the factors of the transmission quantization matrix mayalso be used.

FIG. 10 is a flowchart to illustrate the operation of the inversequantization unit 303 and the quantization matrix determination unit 304in this embodiment. In FIG. 10 , the same symbols (Sb1-Sb6, Sb8-Sa14)are added to the parts corresponding to those in FIG. 8 , and thedescription is omitted. The flowchart in FIG. 10 is only different fromthe flowchart in FIG. 8 in that Step Sb7 is changed to Step Sd7.

In Step Sd7, the quantization matrix determination unit 304 generatesthe transmission quantization matrix from those of the scaling listsretrieved in Step Sb3 that is equal to the size of that quantized block,and retrieves one representative value of the generated transmissionquantization matrix. The retrieving method of representative value isthe same as in Step Sc7. The quantization matrix determination unit 304sets the representative value quantization matrix of which all factorsare of the same value as the representative value for the inversequantization unit 303.

In this way, in the image encoding device 10 of this embodiment, thequantization matrix determination unit 105 uses the quantization matrixfor the quantization blocks left as the original transformation blocksby the orthogonal transformation unit 102 as the representative valuequantization matrix. All factors' roughness of quantization in therepresentative value quantization matrix is represented by therepresentative value of the factors constituting the predefined matrix.

Thus, used is the representative value quantization matrix with allfactors' roughness of quantization being equal for the quantization ofthe quantization blocks left as the original transformation blocks,i.e., the quantization blocks not subjected to the orthogonaltransformation. Therefore, the variation between pixels resulting fromquantization can be reduced, and the deterioration of subjective imagequality can also be controlled.

Furthermore, the quantization matrix determination unit 105 determineswhether to use the default quantization matrix to be shared with thedecoding side in advance or the transmission quantization matrix to betransmitted to the decoding side shall as the quantization matrix, foreach predefined unit composed of one or more quantization blocks(encoding block). The quantization matrix determination unit 105 usesquantization matrix the quantization matrix for the quantization blocksis determined, and left as the original transformation blocks by theorthogonal transformation unit 102 as the representative valuequantization matrix and contained in the predefined unit determined touse the transmission quantization matrix.

Thus, used is the representative value quantization matrix with allfactors' roughness of quantization being equal for the quantization ofthe quantization blocks not subjected to the orthogonal transformation,even if they are quantization blocks contained in the predefined unit(encoding block) determined to use the transmission quantization matrix.Therefore, the variation between pixels resulting from quantization canbe reduced, and the deterioration of subjective image quality can alsobe controlled.

As described above, in the image decoding device 30 of this embodiment,the quantization matrix determination unit 304 uses the quantizationmatrix for the quantization blocks left as the original transformationblocks by the inverse orthogonal transformation unit 305 as therepresentative value quantization matrix. All factors' roughness ofquantization in the representative value quantization matrix isrepresented by the representative value of the factors constituting thepredefined matrix.

Thus, used is the representative value quantization matrix with allfactors' roughness of quantization being equal for the inversequantization for generating the transformed blocks directly used as thepredicted difference restoration signal. Therefore, the variationbetween pixels resulting from quantization can be reduced, and thedeterioration of subjective image quality can also be controlled.

Furthermore, the quantization matrix determination unit 304 determineseither the default quantization matrix to be shared in advance with thedecoding side or the transmission quantization matrix to be transmittedfrom the encoding side shall be used as the quantization matrix for eachpredefined unit (encoding block) composed of one or more said quantizedblocks. The quantization matrix determination unit 304 uses, asrepresentative value quantization matrix, the quantization matrix thatis contained in the predefined unit determined to use the transmissionquantization matrix, and that is used for generating the transformedblocks used directly as the predicted difference restoration signal bythe inverse orthogonal transformation unit 305. Moreover, theaforementioned predefined matrix is the transmission quantizationmatrix.

Thus, used is the representative value quantization matrix with allfactors' roughness of quantization being equal for the inversequantization of quantized blocks not subjected to the inverse orthogonaltransformation after the inverse quantization, even if they arequantized blocks contained in the predefined unit (encoding block)determined to use the transmission quantization matrix. Therefore, thevariation between pixels resulting from quantization can be reduced, andthe deterioration of subjective image quality can also be controlled.

Third Embodiment

In the following, with reference to the drawings, we will illustrate thethird embodiment of this invention. In the third embodiment, we willillustrate an example in which a value is transmitted from the encodingside to the decoding side, and a single flat value transmissionquantization matrix is generated from that value and used to thequantization blocks that have undergone TS and belong to the encodingblock using transmission quantization matrix.

The image encoding device 10 and the image decoding device 30 in thisembodiment have the same structure as the image encoding device 10 inFIG. 1 and the image decoding device 30 in FIG. 7 . However, theoperation of the quantization matrix determination unit 105 in imageencoding device 10 and operation of the quantization matrixdetermination unit 304 in the image decoding device 30 are different.Therefore, we will explain on these operations.

FIG. 11 is a flowchart to illustrate the operation of the quantizationunit 104, quantization matrix determination unit 105 in this embodiment.In FIG. 11 , the same symbols (Sa1-Sa2, Sa5-Sa7, Sa9-Sa17) are added tothe parts corresponding to those in FIG. 6 , and the description isomitted. The flowchart of FIG. 11 is only different from the flowchartin FIG. 6 in that Steps Sa3, Sa4, Sa8 are each changed to Steps Se3,Se4, Se8.

In Step Se3, quantization matrix determination unit 105 determines thetransmission quantization matrix (ScalingFactor) of each size, and thesingle value transmission quantization matrix (ScalingFactor_TS). Here,all factors of the single value transmission quantization matrix are ofthe same value. It is a quantization matrix that transmits one of thesevalues to the decoding side. Further, this value may be a predefinedvalue, or found from the distribution of factors of the quantizationblock having undergone TS.

In Step Se4, the quantization matrix determination unit 105 generates ascaling list sorting by a predefined order each factor of thetransmission quantization matrix determined in Step Se3 and one valueindicating the factors of the single value transmission quantizationmatrix. The quantization matrix determination unit 105 inputs it alongwith the transmission quantization matrix enabling flag(scaling_list_enable_flag) set to “1”, to entropy encoding unit 106.

In Step Se8, the quantization matrix determination unit 105 sets thesingle value transmission quantization matrix determined in Step Se3 tothe quantization unit 104 and inverse quantization unit 107. Further,the set single value transmission quantization matrix m[x][y] can, whenthe value indicating the factors of the single value transmissionquantization matrix is represented as ScalingFactor_TS[sizeId], beexpressed in the form of Equation (3): m[x][y]=ScalingFactor_TS[sizeId]. . . (3) SizeId is an index indicating the size of quantization block.Here is has a value representing 4×4.

Further, in this embodiment, the single value transmission quantizationmatrix is used only when the size is 4×4. Therefore, it does notnecessarily have sizeId as an argument.

Moreover, in addition to the size of quantization block (SizeId), thevalue indicating the factors of the single value transmissionquantization, matrixScalingFactor_TS, can also be determined for eachcombination of the other parameters. For example, other parametersinclude the type of signal value (luminance value Y, color differenceCb, Cr), the prediction mode of the encoding block to which thequantization block belongs (intra-prediction, inter-prediction, etc.)and so on.

Moreover, the determination of the single value transmissionquantization matrix in Step Se3 and the input of scaling list of suchsingle value transmission quantization matrix to the entropy encodingunit 106 may be carried out only when quantization block havingundergone TS is contained in that encoding block.

FIG. 12 is a flowchart to illustrate the operation of the inversequantization unit 303 and the quantization matrix determination unit 304in this embodiment. In FIG. 12 , the same symbols (Sb1, Sb2, Sb4-Sb6,Sb8-Sa14) are added to the parts corresponding to those in FIG. 8 , andthe description is omitted. The flowchart of FIG. 12 is only differentfrom the flowchart in FIG. 8 in that Steps Sb3, Sb7 are each changed toSteps Sf3, Sf7.

In Step Sf3, the quantization matrix determination unit 304 retrievesthe scaling list of each size of that encoding block and the scalinglist of the single value transmission quantization matrix from thedecoding information storage unit 302.

In Step Sf7, the quantization matrix determination unit 304 generatesthe single value transmission quantization matrix from the scaling listof the single value transmission quantization matrix retrieved in StepSf3, and sets it to the inverse quantization unit 303.

In this way, in the image encoding device 10 of this embodiment, thequantization matrix determination unit 105 uses the quantization matrixfor the quantization blocks left as the original transformation blocksby the orthogonal transformation unit 102 as the single valuetransmission quantization matrix. All factors' roughness of quantizationof the single value transmission quantization matrix is represented by asingle value to be transmitted to the decoding side.

Thus, used is the single value transmission quantization matrix with allfactors' roughness of quantization being equal for the quantization ofthe quantization blocks left as the original transformation blocks,i.e., the quantization blocks not subjected to the orthogonaltransformation. Therefore, the variation between pixels resulting fromquantization can be reduced, and the deterioration of subjective imagequality can also be controlled.

Moreover, the quantization matrix determination unit 105 determineseither the default quantization matrix to be shared in advance with thedecoding side or the transmission quantization matrix to be transmittedto the decoding side shall be used as the quantization matrix for eachpredefined unit composed of one or more quantization blocks (encodingblock). The quantization matrix determination unit 105 uses as singlevalue transmission quantization matrix the quantization matrix for thequantization blocks contained in the predefined unit for which the useof transmission quantization matrix is determined and also left as theoriginal transformation blocks are by the orthogonal transformation unit102.

Thus, used is the single value transmission quantization matrix with allfactors' roughness of quantization being equal for the quantization ofthe quantization blocks not subjected to the orthogonal transformation,even if they are quantization blocks contained in the predefined unit(encoding block) determined to use the transmission quantization matrixis determined. Therefore, the variation between pixels resulting fromquantization can be reduced, and the deterioration of subjective imagequality can also be controlled.

Moreover, in this way, in the image decoding device 30 of thisembodiment, the quantization matrix determination unit 304 uses thequantization matrix used for generating the transformed blocks that theinverse orthogonal transformation unit 305 directly uses the predicteddifference restoration signal as the transformed blocks as the singlevalue transmission quantization matrix. All factors' roughness ofquantization contained in the single value transmission quantizationmatrix is represented by the single value to be transmitted from theencoding side.

Thus, used is the single value transmission quantization matrix with allfactors' roughness of quantization being equal for the inversequantization of quantized blocks corresponding to the transformed blocksdirectly used as the predicted difference restoration signal notsubjected to the inverse orthogonal transformation. Therefore, thevariation between pixels resulting from quantization can be reduced, andthe deterioration of subjective image quality can also be controlled.

Furthermore, the quantization matrix determination unit 304 determineseither the default quantization matrix to be shared in advance with thedecoding side or the transmission quantization matrix to be transmittedfrom the encoding side shall be used as the quantization matrix for eachpredefined unit (encoding block) composed of one or more quantizedblocks. The quantization matrix determination unit 304 uses the singlevalue transmission quantization matrix as the quantization matrixcontained in the predefined unit for which the use of transmissionquantization matrix is determined and used in generating the transformedblocks used directly as the predicted difference restoration signal bythe inverse orthogonal transformation unit 305.

Thus, used is the single value transmission quantization matrix with allfactors' roughness of quantization being equal for the inversequantization of the quantized blocks not subjected to the inverseorthogonal transformation after the inverse quantization, even if theyare quantized blocks contained in the predefined unit (encoding block)determined to use the transmission quantization matrix. Therefore, thevariation between pixels resulting from quantization can be reduced, andthe deterioration of subjective image quality can also be controlled.

Fourth Embodiment

In the following, with reference to the drawings, we will illustrate thefourth embodiment of this invention. In the fourth embodiment, we willillustrate an example in which flat default quantization matrix is usedfor the quantization blocks that are applicable for TS and belong to theencoding block using transmission quantization matrix.

FIG. 13 is a schematic block diagram to illustrate the structure ofimage encoding device 10 a in this embodiment. In FIG. 13 , the samesymbols (100-104, 106-115) are added to the parts corresponding to thosein FIG. 1 , and the description is omitted. The image encoding device 10a is different from the image encoding device 10 in FIG. 1 only in thatthe quantization matrix determination unit 105 is changed to thequantization matrix determination unit 105 a. The quantization matrixdetermination unit 105 a is different from the quantization matrixdetermination unit 105 in that the determining result of the TSdetermination unit 103 is not referred when determining the quantizationmatrix.

FIG. 14 is a flowchart to illustrate the operation of the quantizationunit 104, the quantization matrix determination unit 105 a in thisembodiment. In FIG. 14 , the same symbols (Sa1-Sa17) are added to theparts corresponding to those in FIG. 6 , and the description is omitted.The flowchart in FIG. 14 is only different from the flowchart in FIG. 6in that it doesn't have Step Sa1, and, in Step Sa6, when it is judgedthat the size of quantization block is 4×4, it proceeds to Step Sa8.

FIG. 15 is a schematic block diagram to illustrate the structure of theimage decoding device 30 a in this embodiment. In FIG. 15 , the samesymbols (301-303, 305-312) are added to the parts corresponding to thosein FIG. 7 , and the description is omitted. The image decoding device 30a is only different from the image decoding device 30 in FIG. 7 in thatthe quantization matrix determination unit 304 is changed to thequantization matrix determination unit 304 a. The quantization matrixdetermination unit 304 a is different from quantization matrixdetermination unit 304 in that the TS flag is not read from the decodinginformation storage unit 302 when determining the quantization matrix.

FIG. 16 is a flowchart to illustrate the operation of the inversequantization unit 303 and the quantization matrix determination unit 304a in this embodiment. In FIG. 1 , the same symbols (Sb1-Sb5, Sb7-Sb15)are added to the parts corresponding to those in FIG. 8 , and thedescription is omitted. The flowchart in FIG. 16 is only different fromthe flowchart in FIG. 8 in that it doesn't have Step Sb6, and, in StepSb5, when it is judged that the quantized blocks size is 4×4, itproceeds to Step Sb7.

In this way, in the image encoding device 10 a of this embodiment, thequantization matrix determination unit 105 a uses the matrix with allfactors' roughness of quantization being equal as the quantizationmatrix for all quantization blocks of which the block size is thepredefined block size (4×4).

Thus, the quantization matrix for the quantization block of thepredefined block size not subjected to the orthogonal transformation isone with all factors' roughness of quantization being equal. Therefore,the variation between pixels resulting from quantization can be reduced,and the deterioration of subjective image quality can also becontrolled.

Moreover, the quantization matrix determination unit 105 a uses thedefault quantization matrix to be shared with the decoding side inadvance as the quantization matrix for the quantization block of whichthe block size is the predefined block size (4×4). Moreover, of alldefault quantization matrices, those of the predefined block size arethose whose all factors' roughness of quantization is equal.

Thus, used is the default quantization matrix with all factors'roughness of quantization being equal for the quantization of thequantization block of the predefined block size not subjected to theorthogonal transformation. Therefore, the variation between pixelsresulting from quantization can be reduced, and the deterioration ofsubjective image quality can also be controlled.

Furthermore, the quantization matrix determination unit 105 a determineseither the default quantization matrix or the transmission quantizationmatrix to be transmitted to the decoding side shall be used as thequantization matrix for each predefined unit composed of one or morequantization blocks (encoding block). And, even if the quantizationblock is one that is contained in the predefined unit for which the useof transmission quantization matrix is determined, quantization matrixdetermination unit 105 a uses the default quantization matrix as thequantization matrix for the quantization block of the predefined blocksize (4×4).

Thus, used is the default quantization matrix with all factors'roughness of quantization being equal for the quantization ofquantization blocks of the predefined block size not subjected to theorthogonal transformation, even if they are quantization blockscontained in the predefined unit (encoding block) determined to use thetransmission quantization matrix. Therefore, the variation betweenpixels resulting from quantization can be reduced, and the deteriorationof subjective image quality can also be controlled.

In this way, in the image decoding device 30 a of this embodiment, thequantization matrix determination unit 304 a uses the quantizationmatrix with all factors' roughness of quantization being equal as thequantization matrix used for generating each of all transformed blocksof which the block size is the predefined block size (4×4).

Thus, in the quantization matrix of the quantized blocks of thepredefined block size to which the orthogonal transformation is notperformed, all its factors' roughness of quantization is equal.Therefore, the variation between pixels resulting from quantization canbe reduced, and the deterioration of subjective image quality can alsobe controlled.

In this way, in image decoding device 30 a of this embodiment, thequantization matrix determination unit 304 a uses the defaultquantization matrix to be shared with the encoding side in advance, asthe quantization matrix used in generating the transformed blocks of thepredefined block size (4×4).

Thus, the quantization matrix for the quantized blocks of the predefinedblock size to which the orthogonal transformation is not performed afterthe inverse quantization is the default quantization matrix with allfactors' roughness of quantization being equal. Therefore, the variationbetween pixels resulting from quantization can be reduced, and thedeterioration of subjective image quality can also be controlled.

Furthermore, the quantization matrix determination unit 304 a determineseither the default quantization matrix or the transmission quantizationmatrix to be transmitted from the encoding side shall be used as thequantization matrix for each predefined unit (encoding block) composedof one or more said quantized blocks. The quantization matrixdetermination unit 304 a uses the default quantization matrix as thequantization matrix contained in the predefined unit for which the useof transmission quantization matrix is determined and used in generatingthe transformed blocks of the predefined block size (4×4).

Thus, even if they are transformed blocks contained in the predefinedunit (encoding block) for which the use of transmission quantizationmatrix is determined, the quantization matrix for the quantized blocksof the predefined block size to which the orthogonal transformation isnot performed after the inverse quantization is the default quantizationmatrix with all factors' roughness of quantization being equal.Therefore, the variation between pixels resulting from quantization canbe reduced, and the deterioration of subjective image quality can alsobe controlled.

Fifth Embodiment

In the following, with reference to the drawings, we will illustrate thefifth embodiment of this embodiment. In the fifth embodiment, we willillustrate an example in which flat transmission quantization matrix isused for the quantization blocks that are applicable for TS and belongto encoding block using transmission quantization matrix.

The image encoding device 10 a and the image decoding device 30 a inthis embodiment have the same structure as the image encoding device 10a in FIG. 13 , and the image decoding device 30 a in FIG. 15 . However,the operation of the quantization matrix determination unit 105 in theimage encoding device 10 a and the operation of the quantization matrixdetermination unit 304 in the image decoding device 30 a are different.Therefore, we will explain on these operations.

FIG. 17 is a flowchart to illustrate the operation of the quantizationunit 104, the quantization matrix determination unit 105 a in thisembodiment. In FIG. 17 , the same symbols (Sa1-Sa5, Sa9-Sa17) are addedto the parts corresponding to those in FIG. 6 , and the description isomitted. The flowchart of FIG. 17 is only different from the flowchartof FIG. 6 in that it has Steps Sg3, Sg4 between Steps Sa3 and Sa4, andit doesn't have Step Sa6-Sa8, instead has Sa9 following Step Sa5.

In Step Sg3, quantization matrix determination unit 105 a judges whetheror not there are any 4×4 quantization blocks in that encoding block.When the judgment is no (Sg3—No), it directly proceeds to Step Sa4. Onthe other hand, when the judgment is yes in Step Sg3 (Sg3—Yes),quantization matrix determination unit 105 a uses a flat matrix as the4×4 transmission quantization matrix (Sg4) and proceeds to Step Sa4.

FIG. 18 is a flowchart to illustrate the operation of inversequantization unit 303 and quantization matrix determination unit 304 ain this embodiment. In FIG. 18 , the same symbols (Sb1-Sb4, Sb8-Sb15)are added to those in FIG. 8 , and the description is omitted. Theflowchart of FIG. 18 is only different from the flowchart of FIG. 8 inthat it doesn't have Steps Sb5-Sb7, and it has Sa8 following Step Sb4.

In this way, the quantization matrix determination unit 105 a determineseither the default quantization matrix to be shared in advance with thedecoding side or the transmission quantization matrix to be transmittedto the decoding side shall be used as the quantization matrix for eachpredefined unit composed of one or more quantization blocks (encodingblock). The quantization matrix determination unit 105 a uses a matrixwith all factors' roughness of quantization being equal as thequantization matrix for the quantization blocks of the predefined blocksize (4×4) contained in the predefined unit for which the use oftransmission quantization matrix is determined.

Thus, used is the transmission quantization matrix with all factors'roughness of quantization being equal for the quantization of thequantization blocks of the predefined size that may not undergo theorthogonal transformation, even if they are quantization blockscontained in the predefined unit (encoding block) determined to use thetransmission quantization matrix. Therefore, the variation betweenpixels resulting from quantization can be reduced, and the deteriorationof subjective image quality can also be controlled.

Further, in each of the aforementioned embodiment, as an example of thecase where the transformation blocks are applicable for TS, we haveillustrated an example of the case where the size of such transformationblock is 4×4. Nevertheless, other sizes may also be applied, or theremay also be several applicable sizes. Or, methods in which criteriaother than the size of transformation block are met can also be used,such as when the specific scheme is contained in the scheme to generatethe predicted image in the domain corresponding to that transformationblock.

Moreover, in each of the aforementioned embodiments, the size ofencoding block has three types; 8×8, 16×16, and 32×32, and it has beenstated that the size of transformation block and quantization block hasfour types: 4×4, 8×8, 16×16, 32×32. However, it shall not be limited tothis. Other sizes can also be contained, or any size can be excluded.The number of types can either be large or small.

Moreover, in each of the aforementioned embodiments, it has been statedthat the transmission quantization matrix is determined for each size ofquantization block (SizeId). However, in addition to size, it can alsodetermine for each combination of other parameters. For example, otherparameters include the type of signal value (luminance value Y, colordifference Cb, Cr), the prediction mode of the encoding block to whichthe quantization block belongs (intra-prediction, inter-prediction,etc.), and so on.

Moreover, in each of the aforementioned embodiments, the set oftransmission quantization matrix (scaling list) is, as with thetransmission quantization matrix enabling flag, determined for eachencoding block. However, it may also be determined for each larger unit.For example, each frame or each unit that has multiple encoding blocksin it.

Moreover, the image encoding device 10 and the image decoding device 30in each of the aforementioned embodiments may have a lossless mode toperform the lossless encoding of the input moving image.

Moreover, such device may also be realized by following. Acomputer-readable recording medium recorded with the programs to realizethe function of the image encoding device 10 in FIG. 1 , the imagedecoding device 30 in FIG. 7 , the image encoding device 10 a in FIG. 13or the image decoding device 30 a in FIG. 15 . A computer system readsand implements such programs recorded on the recording medium. Further,the computer system referred to herein shall include hardware such as OSor peripheral equipment.

Moreover, the “computer-readable recording medium” refers portablemedium such as a flexible disk, a magneto-optical disk, an ROM, aCD-ROM, and a storage device such as hard disk built in a computersystem. Further, the “computer-readable recording medium” shall includethose dynamically hold the programs for a short period such as thecommunication line when transmitting a program via a network such as theInternet or a communication line such as the telephone line, and thosehold the programs for a particular period of time such as the volatilememory in a computer system acting as a server or a client in that case.Moreover, the program may be one for realizing a part of theaforementioned function or one that can realize the aforementionedfunction through the combination with a program already recorded in thecomputer system.

Moreover, each function block of the aforementioned image encodingdevice 10 in FIG. 1 , image decoding device 30 in FIG. 7 , imageencoding device 10 a in FIG. 13 , or image decoding device 30 a in FIG.15 can be made into individual chips, or, a part of or all of them canbe integrated on one chip. Moreover, the method of circuit integrationis not limited to LSI. It may also be realized by a dedicated circuit ora general-purpose processor. Either of hybrid or monolithic is okay. Apart of the functions may be realized by hardware while the other partof the software.

Moreover, if, with the advance in semiconductor technology, technologiesof circuit integration, etc., which replaces LSI has appeared, it isalso possible to use the integrated circuit according to suchtechnology.

Now that we have described in detail the embodiments of this inventionwith reference to drawings. The specific composition shall not belimited to these embodiments, and include design changes withoutdeparting from the gist of this invention.

Further, the entire content of Japanese Patent Application 2013-203529(Sep. 30, 2013) is incorporated herein by reference.

INDUSTRIAL APPLICABILITY

With this invention, even if blocks subjected to the orthogonaltransformation and blocks not subjected to the orthogonal transformationcoexist, the deterioration of subjective image quality resulting fromquantization can be reduced.

What is claimed is:
 1. An image encoding device comprising: adetermination unit that determines whether or not to skip an orthogonaltransformation for an encoding target block, and a quantization unitthat quantizes the encoding target block using a first quantizationmatrix composed of elements having same roughness when a first or asecond condition is satisfied, the first condition being that adetermination is made to skip the orthogonal transformation and theencoding target block has a predefined size, the second condition beingthat a matrix enabling flag indicates not to apply a second quantizationmatrix composed of elements transmitted to an image decoding device,wherein the quantization unit quantizes the encoding target blocksubjected to the orthogonal transformation using the second quantizationmatrix when the encoding target block does not have the predefined sizeand the second condition is not satisfied, and the elements composingthe first quantization matrix are values shared with the image encodingdevice and the image decoding device in advance.
 2. An image decodingdevice comprising: a determination unit that determines whether or notto skip an inverse orthogonal transformation for a decoding targetblock, and an inverse quantization unit that inversely quantizes thedecoding target block using a first quantization matrix composed ofelements having same roughness when a first or a second condition issatisfied, the first condition being that a determination is made toskip the inverse orthogonal transformation and the decoding target blockhas a predefined size, the second condition being that a matrix enablingflag indicates not to apply a second quantization matrix composed ofelements transmitted from an image encoding device, wherein the inversequantization unit inversely quantizes the decoding target blocksubjected to the inverse orthogonal transformation using the secondquantization matrix when the decoding target block does not have thepredefined size and the second condition is not satisfied, and theelements composing the first quantization matrix are values shared withthe image encoding device and the image decoding device in advance. 3.An image encoding method comprising: determining whether or not to skipan orthogonal transformation for an encoding target block, quantizingthe encoding target block using a first quantization matrix composed ofelements having same roughness when a first or a second condition issatisfied, the first condition being that a determination is made toskip the orthogonal transformation and the encoding target block has apredefined size, the second condition being that a matrix enabling flagindicates not to apply a second quantization matrix composed of elementstransmitted to an image decoding device, and quantizing the encodingtarget block subjected to the orthogonal transformation using the secondquantization matrix when the encoding target block does not have thepredefined size and the second condition is not satisfied, wherein theelements composing the first quantization matrix are values shared withthe image encoding device and the image decoding device in advance. 4.An image decoding method comprising: determining whether or not to skipan inverse orthogonal transformation for a decoding target block,inversely quantizing the decoding target block using a firstquantization matrix composed of elements having same roughness when afirst or a second condition is satisfied, the first condition being thata determination is made to skip the inverse orthogonal transformationand the decoding target block has a predefined size, the secondcondition being that a matrix enabling flag indicates not to apply asecond quantization matrix composed of elements transmitted from animage encoding device, and inversely quantizing the decoding targetblock subjected to the inverse orthogonal transformation using thesecond quantization matrix when the decoding target block does not havethe predefined size and the second condition is not satisfied, whereinthe elements composing the first quantization matrix are values sharedwith the image encoding device and the image decoding device in advance.